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ss7ja [257]
3 years ago
9

A human body while sleeping generates about 300 BTUs of body heat per hour. If two people are sleeping in a bedroom that is 12 f

t × 12 ft × 9 ft, how many BTUs per cubic foot do they produce in 8 hours? (to the nearest tenth)
Mathematics
2 answers:
Svetach [21]3 years ago
6 0
What u got to do is time the like term and do the unlike terms and the will be yo answer
Yuri [45]3 years ago
5 0

Answer:

3.7 BTUs per cubic foot.

Step-by-step explanation:

A human body while sleeping generates about 300 BTUs of body heat per hour.

We have to calculate the amount of heat per cubic feet produced by 2 persons sleeping in a bedroom of 12 ft×12 ft× 9 ft room in 8 hours.

Two persons will produce the heat in eight hours = 300×2×8 = 4800 BTUs

Volume of bedroom = 12×12×9 = 1296 cubic foot.

Now BTUs per cubic foot produced = Total body heat produced in 8 hours/Volume of room

= 4800/1296 = 3.703 = 3.7 BTUs per cubic foot.

Therefore answer is 3.7 BTUs per cubic foot.

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The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean s
Tcecarenko [31]

Answer:

The most appropriate null hypothesis for this situation is

H_0: The mean sales volume is equal to 24.

the most appropriate alternative hypothesis for this situation is

H_a: The mean sales volume is greater than 24.

Step-by-step explanation:

<em>The null hypothesis H_0 is the fact that is established and consider as true fact. </em>

Since the established mean sales volume is 24 automobiles per month this should be considered as the null hypothesis.

So, the most appropriate null hypothesis for this situation is

H_0: The mean sales volume is equal to 24

<em>The alternative hypothesis is a fact that intends to reject or refute the null by collecting data that could contradict it. </em>

In this case, since the manager wants to conduct a research study to see whether the new bonus plan increases sales volume, he wants to see if the data collected after the new bonus plan can show that the new average is greater than the established one.  

So, the most appropriate alternative hypothesis for this situation is

H_a: The mean sales volume is greater than 24.

To try and prove that H_a shows enough evidence as to assure the new plan actually increases sales volume, he must fix a significance level \alpha, for example 0.1 or 0.05, which gives the probability that H_a is not wrong in case that it rejects H_0.

This confidence level defines an \alpha-score z_\alpha which is a point such that the area under the normal curve N(0;1) to the right of z_\alpha is less than \alpha.

<em>In this case we considered the right side because you want to see the new average is greater than the established one. </em>

<em> If the z-score obtained through the sample is greater than z_\alpha then you can say the new bonus actually increases sales. </em>

<em>If the z-score obtained through the sample is less than or equals to z_\alpha then you do not have enough evidence showing that the new bonus actually increases sales.</em>

6 0
2 years ago
Write the formula for the volume of a square prism, V= 1/3 s^2h, in terms of h. Then find the height h of a square prism with vo
Marina CMI [18]

The formula in terms of h is h = 3V/s^2 and the value of h is 5

<h3>How to write the formula in terms of h?</h3>

The equation is given as

V = 1/3s^2h

Divide both sides of the equation by 1/3s^2

So, we have

h = 3V/s^2

The given parameters are

V = 60 and s = 6

So, we have:

h = 3 * 60/6^2

Evaluate

h = 5

Hence, the formula in terms of h is h = 3V/s^2 and the value of h is 5

Read more about formulas at:

brainly.com/question/10643782

#SPJ1

7 0
1 year ago
Can someone help me please
babunello [35]

If the functions are inverses, then f(g(x)) = x.

A.

\displaystyle f(g(x))=f\left(\frac{3x+1}{3}\right)=\frac{1}{\frac{3x+1}{x}-3}\\\\=\frac{1}{\left(\frac{3x+1-3x}{x}\right)}=\frac{1}{\left(\frac{1}{x}\right)}=x

The functions are inverses of each other.

B. The domain of f(x) = x≠3. The domain of g(x) is x≠0.

The domain of f(g(x)) is (-∞, 0) ∪ (0, ∞).

The domain of g(f(x)) is (-∞, 3) ∪ (3, ∞).

4 0
3 years ago
The curve with equation y = x - 3x + 1 is reflected in the x-axis.
ankoles [38]

Answer:

Step-by-step explanation:

C

7 0
3 years ago
The perimeter of the rectangle is 30 centimeters.What is the side of c
Dafna1 [17]

Answer:

Step-by-step explanation:

Emmm

8 0
3 years ago
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